In this resource from Shirley Fall, students are presented with a general straight line y=mx+c and are shown that the gradient of the line between any two points that lie on the line is always equal to m. Students should be encouraged to explain the proof to check...

This activity, from Shirley Fall, requires students to use and interpret function notation, sketch graphs using key points, explore the common transformations of translate parallel to the y axis, translate parallel to the x axis, stretch parallel to the y axis from the...

In this resource from the DfE Standards Unit, students learn to associate x-intercepts with finding values of x such that f (x) = 0, sketch graphs of cubic functions, find linear factors of cubic functions and develop efficient strategies when factorising cubic functions. Students should have some familiarity with...

This mathematical activity provides students with the opportunity to solve a realistic animal care problem and become active problem-solvers. Students are encouraged to make a mathematical model of a real-life situation, identifying and incorporating relevant factors, obtain information relevant to the problem,...

This resource contains a short presentation which introduces three problems where approximate solutions can be calculated.

The first activity asks students to use Fermi estimation to calculate the quantity of tea used in China in a three month period. Students are also invited to calculate an estimate of the...

This resource from Ofsted is a full report and summary of the findings from a visit, in September 2009, made by two of Her Majesty's Inspectors to educational establishments in Finland. Evidence was gathered from three schools and a university from each of three towns about the factors that contributed to Finnish...

The everyday context of food serves as a vehicle for engaging learners in exploring the mathematical ideas of ratios, percentages, fractions, and pie charts which are useful in their vocational areas. Students are asked to agree the main food groups that might be suitable for a healthy diet and then represent the...

A guide to 12 different engineering disciplines showing different pathways into engineering, to support students with their career decision-making.

Engineering is a diverse, wide-reaching sector and it can be hard to decide which of the many areas to pursue. In this booklet you will find an overview of...

This Core Maths task explores the United Nations Millennium Development Goals (set in 2000).

The resource asks students to use data to consider if the UN millennium goal to reduce the under-five child mortality rate by two-thirds by the year 2015 has been realised.

The teacher guidance provides a...

These problem solving Core Maths resources are suitable for small group work and discussion. The resource contains two modeling tasks which require the use of a spreadsheet.  The tasks are:

• Design a muesli and compare the costs...

This statistical investigation is based on the question: ‘Does the height of a tennis player affect the top speed of their service?’

Students need to decide what information is needed and how this can be obtained. Internet access is essential. This task involves data collection...

In this problem the learners, acting as a helicopter-rescue crew, are asked to rescue a casualty and get them to hospital. The teacher chooses the challenge level by setting the values of some variables. Students will represent and analyse a problem mathematically, interpret and communicate solutions. Use specific...

Teaching Enquiry with Mysteries Incorporated (TEMI) intends to prepare students for enquiry-based learning by introducing them to challenging and fascinating phenomena. TEMI resources make use of unknown and uncommon observations as mysteries for students to solve.  This resource looks at what makes a good mystery...

Science, technology and mathematics teachers at Tendring Technology College had already collaborated across departments and wanted to develop these links further by adopting a thematic approach to the curriculum. The Key Stage 3 curriculum was reviewed to identify areas to embed a STEM philosophy into the lessons...

Classifying shapes:
the objective of this activity is to reflect on the Improving Learning in Mathematics session Mostly Shape and Space Session SS1. The activity asks teachers to consider what knowledge...